Quiz about Create Exponential Functions

Question 1

Which equation represent this situation?

Accepted Answer

y = 280(0.97)^t

Answer

y = 280(1.03)^t

Answer

y = 280(1.3)^t

Answer

y = 1.03(280)^t

Question 2

What type of function is shown?

Accepted Answer

exponential

Answer

logarithm

Answer

quadratic

Answer

square root

Question 3

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

Accepted Answer

y = 15(1.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1.15)^x

Question 4

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Accepted Answer

y=5000(0.7)^x

Answer

y=30(5000)^x

Answer

y=5000(1.3)^x

Answer

y=5000xx

Question 5

Question 5.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 6

Question 6.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 7

Use the table to write an exponential function of the form: f\left(x\right)=a\cdot b^x

Accepted Answer

$$f\left(x\right)=50\left(3\right)^x$$

Answer

$$f\left(x\right)=3x+50$$

Answer

$$f\left(x\right)=50x$$

Answer

$$f\left(x\right)=3x$$

Question 8

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?

Accepted Answer

Increasing

Answer

Decreasing

Question 9

The population of carp is cut in half every day. The population starts out with 1500 carp. Which equation models the situation?

Accepted Answer

$$y=1500\left(\frac{1}{2}\right)^x$$

Answer

$$y=1500\left(2\right)^x$$

Answer

$$y=1500\left(\frac{1}{2}\right)^{\frac{x}{2}}$$

Answer

$$y=\frac{1}{2}\left(1500\right)^x$$

Question 10

What does a represent in this situation using y=a(1 + r)^t?

Accepted Answer

a represents the $300 dollars that was used to open the account.

Answer

a represents the 3.1% gain each year.

Answer

a represents the $309.30 that will be in the account after one year.

Answer

a represents the $300 dollars that will be in the account the second year.

Question 11

Which equation(s) can possibly represent this situation? Select ALL that apply

Accepted Answer

y = 7800(0.92)^t

Accepted Answer

$$y=7800\left(0.92\right)^6$$

Accepted Answer

$$y\ =7800\left(1-.08\right)^t$$

Answer

y = 1.08(7800)^t

Answer

y = 0.92(7800)^t

Question 12

The population of a certain city is 3000 inhabitants and grows at an exponential rate, tripling every 4 years. Which function can we use to find the population after t years?

Accepted Answer

$$P\left(t\right)\ =\ 3000\left(3\right)^{\frac{t}{4}}$$

Answer

$$P\left(t\right)\ =3000\left(3\right)^t$$

Answer

$$P\left(t\right)\ =\ 3\left(3000\right)^{\frac{t}{4}}$$

Answer

$$P\left(t\right)\ =3000\left(4\right)^{\frac{t}{3}}$$

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